TIDM-02002: How to draw the curve of gain VSLn under the condition of unknown resonance parameters

Here is the script used

% FileName: CLLLC_tankSelection.m
% Author: Manish Bhardwaj, Texas Instruments
% Date: 2/13/2019
% Description: CLLLC Tank Selection
%
% Copyright (C) {2019} Texas Instruments Incorporated - http://www.ti.com/
% * ALL RIGHTS RESERVED*
%======================================================================


%%
P=bodeoptions; 
P.Grid='on';
P.FreqUnits='Hz';
P.PhaseWrapping='on';
P.YlimMode='auto';
P.XlimMode='manual';
P.Xlim=[100000,750000];
P.Title.FontSize=12;
P.Title.FontWeight='bold';
P.XLabel.FontSize=11;
P.XLabel.FontWeight='bold';
P.YLabel.FontSize=11;
P.YLabel.FontWeight='bold';
P.TickLabel.FontSize=10;
P.MagUnits='abs';
P.MagScale='linear';
P.FreqScale='linear';
P.PhaseVisible='off';

%%
%------------------------------------------------------
% Define Plant Variables
%------------------------------------------------------

s=tf('s');

%desired resonant frequency
Fres=500000;
%desired transformer gain
n_CLLC=1.6;
%magnetizing inductance
Lm=25*10^-6;



%%

P.YlimMode='auto';
P.XlimMode='manual';
P.Xlim=[300000,750000];
P.Title.FontSize=12;
figure(1);
hold on;
Ln=0;
RL=20;

for Ln=7:3:19
    
    L1=Lm/Ln; 

    %L2=1.3*10^-6;

    %capacitance selection
    %C1=57.423*10^-9;
    C1=1/(L1*3.14*3.14*4*Fres*Fres);
    C2=82.79*10^-9;
    L2=1.3*10^-6;

    C2_dash=C2/(n_CLLC*n_CLLC);
    L2_dash = L2* (n_CLLC*n_CLLC);

    %Zm
    Zm=s*Lm;

    %Z1
    Z1=(1/(s*C1))+s*L1;

    %Z2
    Z2=(1/(s*C2))+s*L2;
    Z2_dash=(1/(s*C2_dash))+s*L2_dash;

    Rac_dash=RL*n_CLLC*n_CLLC *(8/(3.14*3.14));
    Zx=(Zm*(Z2_dash+Rac_dash))/(Zm+Z2_dash+Rac_dash);
    Vgain=(1/n_CLLC)*(Zx*Rac_dash / ((Z1+Zx)*(Z2_dash+Rac_dash)));
    hold on;
    freq_length=(300000*2*pi):10:(750000*2*pi);
    bode(Vgain,freq_length,P);
end

title('BCM CLLLC, Lm 25.6uH, Ln Varying, RL 20 Ohms ');
h=findobj(gcf,'type','line');
set(h,'linewidth',2);
legend('Ln=7','Ln=10','Ln=13', 'Ln=16', 'Ln=19')

Thank you very much for your reply, I ran the script you gave, that is right, but I still don't know how are the parameters L2 and C2 obtained? The script directly gives the value of L2 and C2, Can you describe in detail how these parameters are obtained?

Best regards

Dear,I have watched this video training on 2 sides，but I still can

Dear,I have watched this video training on 2 sides，but I still can't find the answer.The video also selects Ln according to the curve above，but through the script I can be sure

that the curve must be related to L2 and C2，please provide a detailed answer

Dear Manish， maybe you didn't understand what I said , in other words ,why choose the vale of L2 to be 1.3uH

good!